%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 09:13:59 EDT 2022 % Result : Unsatisfiable 1.31s 1.66s % Output : CNFRefutation 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n004.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 11:34:54 EDT 2022 % 0.12/0.34 % CPUTime : % 1.31/1.66 Theorem Proved. % 1.31/1.66 % SZS status Unsatisfiable % 1.31/1.66 % SZS output start CNFRefutation % 1.31/1.66 [1=axiom,[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(X11),multiply(inverse(X10),X12))),X13),inverse(multiply(X11,X13))))) = X12]. % 1.31/1.66 [2=axiom,[], % 1.31/1.66 thtop(X10,X10) = thmfalse]. % 1.31/1.66 [3=axiom,[], % 1.31/1.66 thtop(multiply(multiply(inverse(b2),b2),a2),a2) = thmtrue]. % 1.31/1.66 [5=param(1,1),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(X11),X12)),X13),inverse(multiply(X11,X13))))) = inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(inverse(inverse(X10)),X12))),X15),inverse(multiply(X14,X15))))]. % 1.31/1.66 [7=param(5,1),[], % 1.31/1.66 inverse(multiply(multiply(inverse(multiply(inverse(X10),multiply(inverse(inverse(X11)),multiply(inverse(X11),X12)))),X13),inverse(multiply(X10,X13)))) = X12]. % 1.31/1.66 [8=param(1,5),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(X11),X12)),X13),inverse(multiply(X11,X13)))))) = X12]. % 1.31/1.66 [10=param(8,1),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(X11),X12),inverse(multiply(X13,X12)))))) = inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(inverse(inverse(X13)),X11))),X15),inverse(multiply(X14,X15))))]. % 1.31/1.66 [13=param(1,8),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X10),X12))))) = inverse(multiply(multiply(inverse(multiply(inverse(X13),X11)),X14),inverse(multiply(X13,X14))))]. % 1.31/1.66 [18=param(8,8),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(X11),X12),inverse(multiply(X13,X12)))))) = multiply(X13,inverse(multiply(multiply(inverse(multiply(inverse(X14),X11)),X15),inverse(multiply(X14,X15)))))]. % 1.31/1.66 [22=param(8,7),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,X11)) = multiply(inverse(inverse(X12)),multiply(inverse(X12),X11))]. % 1.31/1.66 [28=param(8,22),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X11)),multiply(inverse(X11),X12))),X13),inverse(multiply(X14,X13)))))) = multiply(X14,X12)]. % 1.31/1.66 [32=param(1,22),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(X11),multiply(X11,X12))),X13),inverse(multiply(inverse(X10),X13))))) = X12]. % 1.31/1.66 [43=param(32,8),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X11)),X12)),X13),inverse(multiply(inverse(X10),X13))))) = multiply(X11,inverse(multiply(multiply(inverse(multiply(inverse(X14),X12)),X15),inverse(multiply(X14,X15)))))]. % 1.31/1.66 [46=param(8,32),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(X11),X12),inverse(multiply(X13,X12)))))) = inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(X14,X11))),X15),inverse(multiply(inverse(inverse(X13)),X15))))]. % 1.31/1.66 [56=param(10,10),[7], % 1.31/1.66 multiply(inverse(X10),multiply(X10,multiply(inverse(X11),multiply(X11,inverse(multiply(multiply(inverse(X12),X13),inverse(multiply(X14,X13)))))))) = multiply(inverse(inverse(X14)),X12)]. % 1.31/1.66 [58=param(1,10),[], % 1.31/1.66 multiply(inverse(X10),multiply(inverse(X11),multiply(X11,inverse(multiply(multiply(inverse(X12),X13),inverse(multiply(X10,X13))))))) = X12]. % 1.31/1.66 [77=param(58,22),[], % 1.31/1.66 multiply(inverse(X11),multiply(X11,multiply(X12,inverse(multiply(multiply(inverse(X10),X13),inverse(multiply(inverse(X12),X13))))))) = X10]. % 1.31/1.66 [84=param(32,58),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X11)),X12)),X13),inverse(multiply(inverse(X10),X13))))) = multiply(inverse(X14),multiply(X14,inverse(multiply(multiply(inverse(X12),X15),inverse(multiply(X11,X15))))))]. % 1.31/1.66 [106=param(77,32),[], % 1.31/1.66 multiply(inverse(X10),multiply(X10,X11)) = multiply(inverse(X12),multiply(X12,X11))]. % 1.31/1.66 [127=param(32,106),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(X11),multiply(X11,X12)),inverse(multiply(inverse(X10),multiply(multiply(inverse(X13),multiply(X13,X14)),X12)))))) = X14]. % 1.31/1.66 [170=param(13,32),[], % 1.31/1.66 inverse(multiply(multiply(inverse(multiply(inverse(X10),multiply(inverse(X11),multiply(X11,X12)))),X13),inverse(multiply(X10,X13)))) = X12]. % 1.31/1.66 [173=param(1,13),[], % 1.31/1.66 multiply(X10,multiply(X11,inverse(multiply(multiply(inverse(multiply(inverse(X10),X12)),X13),inverse(multiply(inverse(X11),X13)))))) = X12]. % 1.31/1.66 [226=param(170,32),[], % 1.31/1.66 inverse(multiply(multiply(inverse(multiply(inverse(X10),multiply(inverse(X11),X12))),X13),inverse(multiply(X10,X13)))) = inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(X14,X12))),X15),inverse(multiply(inverse(X11),X15))))]. % 1.31/1.66 [229=param(170,58),[], % 1.31/1.66 inverse(multiply(multiply(inverse(X10),X11),inverse(multiply(X12,X11)))) = inverse(multiply(multiply(inverse(X10),X13),inverse(multiply(X12,X13))))]. % 1.31/1.66 [231=param(58,170),[], % 1.31/1.66 multiply(inverse(X10),multiply(inverse(X11),multiply(X11,X12))) = multiply(inverse(X10),multiply(inverse(X13),multiply(X13,X12)))]. % 1.31/1.66 [317=param(58,229),[58], % 1.31/1.66 multiply(multiply(inverse(X10),X11),inverse(multiply(X12,X11))) = multiply(multiply(inverse(X10),X13),inverse(multiply(X12,X13)))]. % 1.31/1.66 [331=param(229,170),[170], % 1.31/1.66 inverse(multiply(multiply(X10,X11),inverse(multiply(X12,X11)))) = inverse(multiply(multiply(X10,X13),inverse(multiply(X12,X13))))]. % 1.31/1.66 [348=param(58,331),[58], % 1.31/1.66 multiply(multiply(X10,X11),inverse(multiply(X12,X11))) = multiply(multiply(X10,X13),inverse(multiply(X12,X13)))]. % 1.31/1.66 [396=param(348,106),[], % 1.31/1.66 multiply(multiply(X10,multiply(X11,X12)),inverse(multiply(inverse(X13),multiply(X13,X12)))) = multiply(multiply(X10,X14),inverse(multiply(inverse(X11),X14)))]. % 1.31/1.66 [397=param(106,348),[], % 1.31/1.66 multiply(inverse(multiply(X10,X11)),multiply(multiply(X10,X12),inverse(multiply(X13,X12)))) = multiply(inverse(X14),multiply(X14,inverse(multiply(X13,X11))))]. % 1.31/1.66 [411=param(348,170),[], % 1.31/1.66 multiply(multiply(X10,inverse(multiply(X11,X12))),X13) = multiply(multiply(X10,X14),inverse(multiply(multiply(inverse(multiply(inverse(X11),multiply(inverse(X15),multiply(X15,X13)))),X12),X14)))]. % 1.31/1.66 [436=param(170,18),[-411], % 1.31/1.66 inverse(multiply(inverse(X10),multiply(X10,inverse(multiply(multiply(inverse(X11),inverse(multiply(multiply(inverse(multiply(inverse(X12),X11)),X13),inverse(multiply(X12,X13))))),X14))))) = X14]. % 1.31/1.66 [444=param(170,397),[], % 1.31/1.66 inverse(multiply(multiply(inverse(X10),multiply(X10,inverse(multiply(X11,multiply(inverse(X12),multiply(X12,X13)))))),inverse(multiply(X14,multiply(multiply(inverse(X14),X15),inverse(multiply(X11,X15))))))) = X13]. % 1.31/1.66 [455=param(396,8),[8], % 1.31/1.66 multiply(X10,inverse(X10)) = multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X11),X12)))]. % 1.31/1.66 [525=param(32,455),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(X11),multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X12),X13))))),X14),inverse(multiply(inverse(X10),X14))))) = inverse(X11)]. % 1.31/1.66 [536=param(106,455),[], % 1.31/1.66 multiply(inverse(X10),multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X11),X12)))) = multiply(inverse(X13),multiply(X13,inverse(X10)))]. % 1.31/1.66 [540=param(170,455),[], % 1.31/1.66 inverse(multiply(multiply(inverse(multiply(inverse(X10),multiply(inverse(X11),multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X12),X13)))))),X14),inverse(multiply(X10,X14)))) = inverse(X11)]. % 1.31/1.66 [553=param(231,455),[], % 1.31/1.66 multiply(inverse(X10),multiply(inverse(X11),multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X12),X13))))) = multiply(inverse(X10),multiply(inverse(X14),multiply(X14,inverse(X11))))]. % 1.31/1.66 [565=param(13,455),[], % 1.31/1.66 multiply(X10,inverse(multiply(X11,inverse(X11)))) = inverse(multiply(multiply(inverse(multiply(inverse(X12),X10)),X13),inverse(multiply(X12,X13))))]. % 1.31/1.66 [572=param(58,455),[], % 1.31/1.66 multiply(inverse(inverse(X10)),multiply(inverse(X11),multiply(X11,inverse(multiply(X12,inverse(X12)))))) = X10]. % 1.31/1.66 [581=param(173,455),[], % 1.31/1.66 multiply(X10,multiply(multiply(inverse(X10),X11),inverse(multiply(X12,inverse(X12))))) = X11]. % 1.31/1.66 [607=param(581,28),[], % 1.31/1.66 multiply(X10,multiply(inverse(X11),multiply(X11,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X12)),multiply(inverse(X12),inverse(multiply(X13,inverse(X13)))))),X14),inverse(multiply(multiply(inverse(X10),X15),X14))))))) = X15]. % 1.31/1.66 [639=param(581,317),[], % 1.31/1.66 multiply(X10,multiply(multiply(inverse(X10),X11),inverse(multiply(X12,X11)))) = inverse(X12)]. % 1.31/1.66 [642=demod(444),[639], % 1.31/1.66 inverse(multiply(multiply(inverse(X10),multiply(X10,inverse(multiply(X11,multiply(inverse(X12),multiply(X12,X13)))))),inverse(inverse(X11)))) = X13]. % 1.31/1.66 [655=param(581,455),[], % 1.31/1.66 multiply(X10,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X11),X12)))) = inverse(inverse(X10))]. % 1.31/1.66 [659=demod(553),[655], % 1.31/1.66 multiply(inverse(X10),multiply(inverse(X12),multiply(X12,inverse(X11)))) = multiply(inverse(X10),inverse(inverse(inverse(X11))))]. % 1.31/1.66 [671=demod(572),[659], % 1.31/1.66 multiply(inverse(inverse(X10)),inverse(inverse(inverse(multiply(X11,inverse(X11)))))) = X10]. % 1.31/1.66 [712=demod(540),[655], % 1.31/1.66 inverse(multiply(multiply(inverse(multiply(inverse(X10),inverse(inverse(inverse(X11))))),X12),inverse(multiply(X10,X12)))) = inverse(X11)]. % 1.31/1.66 [714=demod(525),[655], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(inverse(inverse(inverse(X11)))),X12),inverse(multiply(inverse(X10),X12))))) = inverse(X11)]. % 1.31/1.66 [716=demod(536),[655], % 1.31/1.66 multiply(inverse(X11),multiply(X11,inverse(X10))) = inverse(inverse(inverse(X10)))]. % 1.31/1.66 [736=demod(607),[716,716], % 1.31/1.66 multiply(X10,inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))),X12),inverse(multiply(multiply(inverse(X10),X13),X12))))))) = X13]. % 1.31/1.66 [741=demod(56),[716,716], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X10),X11),inverse(multiply(X12,X11)))))))) = multiply(inverse(inverse(X12)),X10)]. % 1.31/1.66 [754=demod(84),[716], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X11)),X12)),X13),inverse(multiply(inverse(X10),X13))))) = inverse(inverse(inverse(multiply(multiply(inverse(X12),X14),inverse(multiply(X11,X14))))))]. % 1.31/1.66 [779=demod(436),[716], % 1.31/1.66 inverse(inverse(inverse(inverse(multiply(multiply(inverse(X10),inverse(multiply(multiply(inverse(multiply(inverse(X11),X10)),X12),inverse(multiply(X11,X12))))),X13))))) = X13]. % 1.31/1.66 [788=demod(642),[716], % 1.31/1.66 inverse(multiply(inverse(inverse(inverse(multiply(X10,multiply(inverse(X11),multiply(X11,X12)))))),inverse(inverse(X10)))) = X12]. % 1.31/1.66 [794=demod(46),[716], % 1.31/1.66 inverse(inverse(inverse(multiply(multiply(inverse(X10),X11),inverse(multiply(X12,X11)))))) = inverse(multiply(multiply(inverse(multiply(inverse(X13),multiply(X13,X10))),X14),inverse(multiply(inverse(inverse(X12)),X14))))]. % 1.31/1.66 [804=param(581,455),[], % 1.31/1.66 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(X10))]. % 1.31/1.66 [807=param(1,804),[712], % 1.31/1.66 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 1.31/1.66 [809=param(13,804),[804], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(inverse(inverse(X10))))))) = inverse(multiply(multiply(inverse(multiply(inverse(X12),X11)),X13),inverse(multiply(X12,X13))))]. % 1.31/1.66 [824=param(229,804),[804], % 1.31/1.66 inverse(multiply(multiply(inverse(X10),X12),inverse(multiply(X11,X12)))) = inverse(multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11)))))]. % 1.31/1.66 [866=demod(226),[824,824], % 1.31/1.66 inverse(multiply(inverse(inverse(inverse(multiply(inverse(X10),multiply(inverse(X11),X12))))),inverse(inverse(inverse(X10))))) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(X13),multiply(X13,X12))))),inverse(inverse(inverse(inverse(X11))))))]. % 1.31/1.66 [917=demod(43),[824,824], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(X11)),X12)))),inverse(inverse(inverse(inverse(X10))))))) = multiply(X11,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X13),X12)))),inverse(inverse(inverse(X13))))))]. % 1.31/1.66 [933=demod(809),[824], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(inverse(inverse(X10))))))) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(X12),X11)))),inverse(inverse(inverse(X12)))))]. % 1.31/1.66 [971=demod(565),[824], % 1.31/1.66 multiply(X10,inverse(multiply(X11,inverse(X11)))) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(X12),X10)))),inverse(inverse(inverse(X12)))))]. % 1.31/1.66 [975=demod(779),[824], % 1.31/1.66 inverse(inverse(inverse(inverse(multiply(multiply(inverse(X10),inverse(multiply(inverse(inverse(inverse(multiply(inverse(X11),X10)))),inverse(inverse(inverse(X11)))))),X12))))) = X12]. % 1.31/1.66 [1069=demod(754),[824,824], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(X11)),X12)))),inverse(inverse(inverse(inverse(X10))))))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X12))),inverse(inverse(inverse(X11)))))))]. % 1.31/1.66 [1072=demod(917),[1069], % 1.31/1.66 inverse(inverse(inverse(multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11))))))) = multiply(X11,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X12),X10)))),inverse(inverse(inverse(X12))))))]. % 1.31/1.66 [1074=demod(975),[-1072], % 1.31/1.66 inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(inverse(X10)))))))),X11))))) = X11]. % 1.31/1.66 [1085=demod(794),[824,824], % 1.31/1.66 inverse(multiply(inverse(inverse(inverse(multiply(inverse(X12),multiply(X12,X10))))),inverse(inverse(inverse(inverse(inverse(X11))))))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11)))))))]. % 1.31/1.66 [1094=demod(741),[824], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11))))))))) = multiply(inverse(inverse(X11)),X10)]. % 1.31/1.66 [1113=demod(866),[-1094], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))),inverse(inverse(inverse(inverse(multiply(inverse(X10),multiply(inverse(X11),X12))))))))))))) = inverse(multiply(inverse(inverse(inverse(multiply(inverse(X13),multiply(X13,X12))))),inverse(inverse(inverse(inverse(X11))))))]. % 1.31/1.66 [1136=demod(933),[-1094], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(inverse(inverse(X10))))))) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(X12)))))),inverse(inverse(inverse(inverse(multiply(inverse(X12),X11))))))))))))]. % 1.31/1.66 [1152=demod(971),[-1094], % 1.31/1.66 multiply(X10,inverse(multiply(X11,inverse(X11)))) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(X12)))))),inverse(inverse(inverse(inverse(multiply(inverse(X12),X10))))))))))))]. % 1.31/1.66 [1155=demod(788),[-1094], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(X10))))),inverse(inverse(inverse(inverse(multiply(X10,multiply(inverse(X11),multiply(X11,X12)))))))))))))) = X12]. % 1.31/1.66 [1161=demod(714),[824], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))),inverse(inverse(inverse(inverse(X10))))))) = inverse(X11)]. % 1.31/1.66 [1163=demod(736),[824], % 1.31/1.66 multiply(X10,inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))))),inverse(inverse(inverse(multiply(inverse(X10),X12))))))))) = X12]. % 1.31/1.66 [1165=param(317,804),[804], % 1.31/1.66 multiply(multiply(inverse(X10),X12),inverse(multiply(X11,X12))) = multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11))))]. % 1.31/1.66 [1200=demod(639),[1165], % 1.31/1.66 multiply(X10,multiply(inverse(inverse(inverse(X10))),inverse(inverse(inverse(X11))))) = inverse(X11)]. % 1.31/1.66 [1249=param(348,804),[804], % 1.31/1.66 multiply(multiply(X10,X12),inverse(multiply(X11,X12))) = multiply(inverse(inverse(X10)),inverse(inverse(inverse(X11))))]. % 1.31/1.66 [1310=param(581,716),[], % 1.31/1.66 multiply(X10,multiply(inverse(inverse(inverse(X11))),inverse(multiply(X12,inverse(X12))))) = multiply(X10,inverse(X11))]. % 1.31/1.66 [1328=param(1249,807),[], % 1.31/1.66 multiply(multiply(X10,inverse(X11)),inverse(multiply(X12,inverse(X12)))) = multiply(inverse(inverse(X10)),inverse(inverse(inverse(X11))))]. % 1.31/1.66 [1337=param(1200,671),[], % 1.31/1.66 multiply(X10,inverse(X10)) = inverse(multiply(X11,inverse(X11)))]. % 1.31/1.66 [1349=param(127,716),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(X11),multiply(X11,X12)),inverse(multiply(inverse(X10),multiply(multiply(inverse(inverse(X13)),inverse(inverse(inverse(X14)))),X12)))))) = multiply(X13,inverse(X14))]. % 1.31/1.66 [1350=param(127,804),[804], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(X11),inverse(inverse(X11))),inverse(multiply(inverse(X10),inverse(inverse(multiply(inverse(X12),multiply(X12,X13))))))))) = X13]. % 1.31/1.66 [1353=param(127,1200),[], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(inverse(X11),multiply(X11,X12)),inverse(multiply(inverse(X10),multiply(multiply(inverse(X13),inverse(X14)),X12)))))) = multiply(inverse(inverse(inverse(X13))),inverse(inverse(inverse(X14))))]. % 1.31/1.66 [1354=demod(1349),[1353], % 1.31/1.66 multiply(inverse(inverse(inverse(inverse(X10)))),inverse(inverse(inverse(inverse(inverse(X11)))))) = multiply(X10,inverse(X11))]. % 1.31/1.66 [1357=param(22,1337),[716], % 1.31/1.66 multiply(inverse(X10),inverse(multiply(X11,inverse(X11)))) = inverse(inverse(inverse(X10)))]. % 1.31/1.66 [1358=demod(1310),[1357], % 1.31/1.66 multiply(X10,inverse(inverse(inverse(inverse(inverse(X11)))))) = multiply(X10,inverse(X11))]. % 1.31/1.66 [1388=demod(1085),[1358], % 1.31/1.66 inverse(multiply(inverse(inverse(inverse(multiply(inverse(X10),multiply(X10,X11))))),inverse(X12))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(inverse(X12)))))))]. % 1.31/1.66 [1390=demod(1113),[1388,1358], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))),inverse(inverse(inverse(inverse(multiply(inverse(X10),multiply(inverse(X11),X12))))))))))))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X12))),inverse(inverse(X11))))))]. % 1.31/1.66 [1436=demod(1354),[1358], % 1.31/1.66 multiply(inverse(inverse(inverse(inverse(X10)))),inverse(X11)) = multiply(X10,inverse(X11))]. % 1.31/1.66 [1441=demod(1163),[1436], % 1.31/1.66 multiply(X10,inverse(inverse(inverse(multiply(inverse(inverse(multiply(X11,inverse(X11)))),inverse(inverse(inverse(multiply(inverse(X10),X12))))))))) = X12]. % 1.31/1.66 [1444=demod(1390),[1436], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(X10)),inverse(inverse(inverse(inverse(multiply(inverse(X10),multiply(inverse(X11),X12))))))))))))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X12))),inverse(inverse(X11))))))]. % 1.31/1.66 [1453=demod(1155),[1436], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X10),inverse(inverse(inverse(inverse(multiply(X10,multiply(inverse(X11),multiply(X11,X12)))))))))))))) = X12]. % 1.31/1.66 [1462=demod(1152),[1436], % 1.31/1.66 multiply(X10,inverse(multiply(X11,inverse(X11)))) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(X12)),inverse(inverse(inverse(inverse(multiply(inverse(X12),X10))))))))))))]. % 1.31/1.66 [1472=demod(1136),[1436], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(inverse(inverse(X10))))))) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(X12)),inverse(inverse(inverse(inverse(multiply(inverse(X12),X11))))))))))))]. % 1.31/1.66 [1485=demod(1161),[1436], % 1.31/1.66 multiply(X10,inverse(multiply(inverse(inverse(X11)),inverse(inverse(inverse(inverse(X10))))))) = inverse(X11)]. % 1.31/1.66 [1486=demod(1472),[1485], % 1.31/1.66 inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(X11)),inverse(inverse(inverse(inverse(multiply(inverse(X11),X10)))))))))))) = inverse(inverse(X10))]. % 1.31/1.66 [1487=demod(1444),[1486], % 1.31/1.66 inverse(inverse(multiply(inverse(X10),X11))) = inverse(inverse(inverse(multiply(inverse(inverse(inverse(X11))),inverse(inverse(X10))))))]. % 1.31/1.66 [1490=demod(1074),[-1487], % 1.31/1.66 inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(X10))),X10))),X11))))) = X11]. % 1.31/1.66 [1495=demod(1462),[1486], % 1.31/1.66 multiply(X10,inverse(multiply(X11,inverse(X11)))) = inverse(inverse(X10))]. % 1.31/1.66 [1496=demod(1328),[1495], % 1.31/1.66 multiply(inverse(inverse(X10)),inverse(inverse(inverse(X11)))) = inverse(inverse(multiply(X10,inverse(X11))))]. % 1.31/1.66 [1500=demod(1441),[1496,1358], % 1.31/1.66 multiply(X10,inverse(multiply(multiply(X11,inverse(X11)),inverse(multiply(inverse(X10),X12))))) = X12]. % 1.31/1.66 [1501=demod(1350),[1500], % 1.31/1.66 inverse(inverse(multiply(inverse(X10),multiply(X10,X11)))) = X11]. % 1.31/1.66 [1519=demod(671),[1496,1495], % 1.31/1.66 inverse(inverse(inverse(inverse(X10)))) = X10]. % 1.31/1.66 [1526=demod(1490),[1519], % 1.31/1.66 multiply(inverse(inverse(multiply(inverse(inverse(inverse(X10))),X10))),X11) = X11]. % 1.31/1.66 [1537=demod(1453),[1519,1501,1501], % 1.31/1.66 inverse(inverse(X10)) = X10]. % 1.31/1.66 [1550=demod(1526),[1537,1537], % 1.31/1.66 multiply(multiply(inverse(X10),X10),X11) = X11]. % 1.31/1.66 [1628=param(3,1550),[2], % 1.31/1.66 thmtrue = thmfalse]. % 1.31/1.66 % SZS output end CNFRefutation % 1.31/1.66 Space: 2068 KB %------------------------------------------------------------------------------